This paper describes the psychoacoustically optimal matrices for reproducing stereophonic signals intended for reproduction via n1 loudspeakers via a larger number n2 of loudspeakers, using velocity and sound-intensity theories of sound localisation, for the specific cases n1= 2,3,4 and n2= 3,4,5. Optimal decoder designs for reproducing 2-channel stereo via 3 loudspeakers are described in detail, using frequency-dependent matrix coefficients, along with uses in music and TV applications where a stable stereo image over a large listening area is required.
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